Atkin-Lehner |
2+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109504c |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11991126016 = 212 · 292 · 592 |
Discriminant |
Eigenvalues |
2+ 0 2 4 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4564,-118560] |
[a1,a2,a3,a4,a6] |
j |
2566851069888/2927521 |
j-invariant |
L |
5.2279973193162 |
L(r)(E,1)/r! |
Ω |
0.58088864385096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109504a2 54752d1 |
Quadratic twists by: -4 8 |